ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS

Title & Authors
ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
Venkataraman, Geetha;

Abstract
This paper deals with sufficiency conditions for irreducibility of certain induced modules. We also construct irreducible representations for a group G over a field $\small{\mathbb{K}}$ where the group G is a semidirect product of a normal abelian subgroup N and a subgroup H. The main results are proved with the assumption that char $\small{\mathbb{K}}$ does not divide |G| but there is no assumption made of $\small{\mathbb{K}}$ being algebraically closed.
Keywords
finite group;semidirect product;representations;induced modules;irreducibility;
Language
English
Cited by
References
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